write the equation of the line perpendicular of the graph of y=-1/4x+3 and passes through the point (-2,4)

Nicole runs a farm stand that sells bananas and peaches. Each pound of bananas sells for $2 and each pound of peaches sells for

stepan [7]

Answer:

The required system of equations is:

2x + 3.25y = 231.75

x = y + 3

where x is the number of pounds of bananas and y is the number of pounds of peaches

Explanation:

1- Defining the variables:

Assume that the number of pounds of bananas sold is x

Assume that the number of pounds of peaches sold is y

2- Setting the system of equations:

We are given that:

i. Each pound of bananas sells for $2

Money gained from selling x pounds of bananas is 2x

ii. Each pound of peach sells for $3.23

Money gained from selling y pounds of peaches is 3.25y

iii. Nicole made $231.75 in total. This means that:

2x + 3.25y = 231.75 .................> equation I

iv. Nicole sold 3 more pounds of bananas than pounds of peaches. This

means that:

pounds of bananas = pounds of peaches + 3

x = y + 3 ..................> equation II

3- Solving the equations (if required):

In equation II, we have: x = y + 3

Substitute with equation II in equation I and solve for y as follows:

2x + 3.25y = 231.75

2(y+3) + 3.25y = 231.75

2y + 6 + 3.25y = 231.75

5.25y = 231.75 - 6

5.25y = 225.75

y = 43

Substitute with y in equation II to get x:

x = y + 3

x = 43 + 3 = 46

Based on the above:

Number of pounds of bananas = x = 46 pounds

Number of pounds of peaches = y = 43 pounds

Hope this helps :)

4 0

3 years ago

Study the red pre-image and the associated blue dilation image. The center of dilation is (2, 2).

lakkis [162]

Answer:

3

Step-by-step explanation:

4 0

3 years ago

Alana practice dancing 11/4 hours on Monday 19/8 hours on Wednesday and 2.6 hours on Friday on which day did she practice the cl

liubo4ka [24]

Answer:

On Wednesday

Step-by-step explanation:

In this question, We have Alana practicing for three days. We now need to know in which of the days has she practiced closest to 2 hours. Hence, what we are to do here is simply find which of the practicing hours is nearest to 2hours.

The best thing to do here is to work with minutes. Hence whatsoever fraction we are having would be worked with based on minutes. Let’s do this!

On Monday, she practiced 11/4 hours. This means she practiced 11/4 * 60 minutes = 165 minutes

On Tuesday, practice was for 19/8 hours. This means she had practiced for 19/8 *60 = 142.5 minutes

Lastly, on Wednesday, her practice time was 2.6 hours and that is 2.6 * 60 = 156 minutes

Kindly note that 2 hours is same as 120 minutes. We just need to know which of these minutes is closest to 120 minutes. From what we have, 142.5 is the closest.

This means that her practice on Wednesday is the closest to two hours.

4 0

3 years ago

Read 2 more answers

50 POINTS! WILL MARK BRAINLIEST :)

antoniya [11.8K]

Answer:

Step-by-step explanation:

__________

Good evening ,

_______________

Here we used A and B properties